A general view of the sciences and arts, Volume 1 |
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Page vii
... Signs or Characters used in Geometry 24 Example of a Theorem ................. 25 Corollaries ......... 25 Theorem ...... ........................... 26 ................... Corollary 26 Theorem 27 Corollaries 27 Problem .........
... Signs or Characters used in Geometry 24 Example of a Theorem ................. 25 Corollaries ......... 25 Theorem ...... ........................... 26 ................... Corollary 26 Theorem 27 Corollaries 27 Problem .........
Page 16
... theorems which had been invented by his predecessors in Egypt and Greece , and arranged them in fifteen books , entitled " the Elements of Geometry . " The next after Eucliá of those ancient writers on this science , whose works are ...
... theorems which had been invented by his predecessors in Egypt and Greece , and arranged them in fifteen books , entitled " the Elements of Geometry . " The next after Eucliá of those ancient writers on this science , whose works are ...
Page 18
... Theorems . Practical geometry applies those speculations and theorems to particular uses in the solution of problems . Theoretical geometry may be subdivided into elementary ; which is occupied in the consider- ation of right lines and ...
... Theorems . Practical geometry applies those speculations and theorems to particular uses in the solution of problems . Theoretical geometry may be subdivided into elementary ; which is occupied in the consider- ation of right lines and ...
Page 23
... theorems and problems . A theorem is a proposition in which some truth is to be demonstrated , A problem is a proposition in which some figure is to be constructed , and its truth proved . Corollaries are inferences that follow from ...
... theorems and problems . A theorem is a proposition in which some truth is to be demonstrated , A problem is a proposition in which some figure is to be constructed , and its truth proved . Corollaries are inferences that follow from ...
Page 25
... THEOREM . E B A right line AB meeting another right line CD , makes with it two adjacent angles ; which , taken together , are equal to two right angles . At the point B in the right line CD , let BE be drawn perpendicular to CD . Then ...
... THEOREM . E B A right line AB meeting another right line CD , makes with it two adjacent angles ; which , taken together , are equal to two right angles . At the point B in the right line CD , let BE be drawn perpendicular to CD . Then ...
Common terms and phrases
algebra arch arithmetic astronomy axis body breadth called cask centre CHAP circle circumference column compound cone conic sections contained Corollary cube cyphers decimals definition degrees denomination denotes diameter distance diurnal motion divided dividend division divisor earth ellipse equator Example expressed feet figure fluid four frustum gallons geometrical series geometry given numbers globe gravity greater height horizontal hundred hyperbola hypothenuse idea improper fraction inches instrument integers length logarithms magnitude mathematics Mercury meridian miles mixed mathematics moon motion Multiply opposite angles parabola parallel perpendicular plane triangle plate poles proportion quadrant quantity quotient radius remainder right angles right line rule for finding sailing secant sexagesimal ship sides signifies solid space specific gravity sphere spherical trigonometry square subtract supposed surface tangent telescope term theorem thousand tion TRIGONO trigonometry vertex vertical arc vessel vulgar fractions wheel
Popular passages
Page 60 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 227 - Every body continues in a state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by a force impressed upon it.
Page 228 - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.
Page 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 90 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 228 - The change of motion is proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed.
Page 55 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Page 157 - It is bounded on the North by the Arctic Ocean ; on the East by the Pacific Ocean ; on the South by the Indian Ocean ; and on the West by the Red Sea, the Mediterranean Sea, the Caspian Sea, and the Oural Mountains.
Page 97 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 19 - ... When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it. 11. An obtuse angle is that which is greater than a right angle. 12. An acute angle is that which is less than a right angle. 13. A term or boundary is the extremity of any thing.